The evolution of nonlinear resonant oscillations in closed tubes: Solution of the standard mapping
From MaRDI portal
Publication:4526235
DOI10.1063/1.165906zbMath1055.76542OpenAlexW1967584508WikidataQ52421609 ScholiaQ52421609MaRDI QIDQ4526235
Michael P. Mortell, Edward A. Cox
Publication date: 16 January 2001
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.165906
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Gas dynamics (general theory) (76N15) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (2)
The Passing of Resonance Zones of a Piston in a Closed Tube ⋮ The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry
Cites Work
- The evolution of resonant oscillations in closed tubes
- On the behaviour of the solution of the Burgers equation as the viscosity goes to zero
- Subharmonic non-linear acoustic resonances in closed tubes
- The evolution of nonlinear standing waves in bounded media
- The dynamics of repeated impacts with a sinusoidally vibrating table
- A finite-rate theory of quadratic resonance in a closed tube
- The evolution of resonant water-wave oscillations
- Oscillations of a gas in a closed tube near half the fundamental frequency
- Nonlinear forced oscillations in a closed tube: continuous solutions of a functional equation
- A finite-rate theory of resonance in a closed tube: discontinuous solutions of a functional equation
- On Nonlinear Parametric Excitation Problems
- Second Order Hyperbolic Equations with Small Nonlinearities
- Resonant acoustic oscillations with damping: small rate theory
- Comparison of the Modified Method of Averaging and the Two Variable Expansion Procedure
- Finite amplitude waves in bounded media: nonlinear free vibrations of an elastic panel
- Pulse Propagation in a Nonlinear Viscoelastic Rod of Finite Length
- The Evolution of a Self-Sustained Oscillation in a Nonlinear Continuous System
- Analysis of a Self-Sustained Thermally Driven Nonlinear Vibration
This page was built for publication: The evolution of nonlinear resonant oscillations in closed tubes: Solution of the standard mapping